Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups

David Goldberg; Philip Kutzko; Shaun Stevens

Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups

Representation Theory 2007-05-23 v1

Authors: David Goldberg , Philip Kutzko , Shaun Stevens

Abstract

We study components of the Bernstein category for a p-adic classical group (with p odd) with inertial support a self-dual positive level supercuspidal representation of a Siegel Levi subgroup. More precisely, we use the method of covers to construct a Bushnell-Kutzko type for such a component. A detailed knowledge of the Hecke algebra of the type should have number-theoretic implications.

Keywords

p-adic classical groups Siegel Levi subgroup self-dual supercuspidal representations Bernstein category covers Bushnell-Kutzko type Hecke algebra

Cite

@article{arxiv.math/0610785,
  title  = {Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups},
  author = {David Goldberg and Philip Kutzko and Shaun Stevens},
  journal= {arXiv preprint arXiv:math/0610785},
  year   = {2007}
}

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22 pages

Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups

Abstract

Keywords

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